During math class this year we used a very different concept than usual. We used Connected Mathematics 2. My favorite unit during this year was the first unit we did. It is called Prime Time.
There were many different units in Connected Mathematics 2. There was Prime Time, Bits and Pieces 1, Bits and Pieces 2, Shapes and Designs, and Covering and Surrounding, and How Likely Is It. Out of all of these units Prime Time was my favorite. I liked this unit because I thought that it was very interesting. I learned about factors and multiples. I had already learned about factors and multiples in my past years here at Franklin but this year I learned a lot more. This unit came very easy to me because it was easy information for me to remember.
I learned many different facts about factors and multiples during this unit. For example, I learned that a multiple of a number is the product of that number and another whole number, and a factor is one of two or more numbers that are multiplied to get a product. The greatest common factor of two or more numbers is the greatest factor that two or more numbers share, and the greatest common multiple is the least multiple that two or more numbers share. I also learned about abundant numbers, composite factors and multiples, conjectures, deficient numbers, dimensions, divisors, even numbers, exponents, factor pairs, factorizations, and many others.
I can connect the information I used to my life because math is used everywhere. For example, I can use the information at a store to find the price of something. I also did ACE during Connected Mathematics 2. ACE stands for Applications, Connections, and Extensions. There was a different ACE unit after every investigation. I also learned a new game. It was called The Factor Game. Here are the directions to playing The Factor Game.
Player A chooses a number on the game board and circles it.
With a different color, Player B circles all the proper factors of Player A’s number.
Player B circles a new number and Player A circles all the factors of the numbers that are not already circled.
The players take turns choosing numbers and circling factors.
If a player circles a number with no factors left then the player doesn’t get any points and they lose a turn.
The game ends when there are no more numbers left with uncircled factors and the player with the most points wins.
At the end of each investigation we also did reflections. These helped me to remember the information I learned and it helped me on my tests and quizzes. I had an amazing math year this year, and I now know much more information than I did last year. I am walking out of this school as an even smarter girl, and this is all because of the help from my amazing teachers.
Here is one of the many reflections I got a great grade on this year.....
Mathematical Reflection 1-
How Likely Is It?
By: Melanie Ward 4-18-12
#1-3, page 20
You can find the experimental probability that a particular result will occur by experimenting. You can test it and experiment a lot of times and record you results and you number of trials. Your number of favorable results will be your numerator and your number of trials will be your denominator.
Example: When you are experimenting to see if a coin will land on heads or tails you can flip the coin and record you number of trials, how many times it landed on heads, and your percent. You must do this a large amount of times so that you can have a better and more accurate prediction.
No because if thirty trials will not give you enough data to make a good prediction.
Example: If you have 500 trials you will have more data and a better prediction than when you only have 30 trials because you won’t have enough information.
When results are equally likely it means that each result that can occur has the same chance of occurring.
Example: If you flip a coin it will have a 50% chance of landing on heads and a 50% chance of landing on tails also, which means the chances of are equally likely.
By: Melanie Ward 6- Preiss
During math class this year we used a very different concept than usual. We used Connected Mathematics 2. My favorite unit during this year was the first unit we did. It is called Prime Time.
There were many different units in Connected Mathematics 2. There was Prime Time, Bits and Pieces 1, Bits and Pieces 2, Shapes and Designs, and Covering and Surrounding, and How Likely Is It. Out of all of these units Prime Time was my favorite. I liked this unit because I thought that it was very interesting. I learned about factors and multiples. I had already learned about factors and multiples in my past years here at Franklin but this year I learned a lot more. This unit came very easy to me because it was easy information for me to remember.
I learned many different facts about factors and multiples during this unit. For example, I learned that a multiple of a number is the product of that number and another whole number, and a factor is one of two or more numbers that are multiplied to get a product. The greatest common factor of two or more numbers is the greatest factor that two or more numbers share, and the greatest common multiple is the least multiple that two or more numbers share. I also learned about abundant numbers, composite factors and multiples, conjectures, deficient numbers, dimensions, divisors, even numbers, exponents, factor pairs, factorizations, and many others.
I can connect the information I used to my life because math is used everywhere. For example, I can use the information at a store to find the price of something.
I also did ACE during Connected Mathematics 2. ACE stands for Applications, Connections, and Extensions. There was a different ACE unit after every investigation. I also learned a new game. It was called The Factor Game. Here are the directions to playing The Factor Game.
- Player A chooses a number on the game board and circles it.
- With a different color, Player B circles all the proper factors of Player A’s number.
- Player B circles a new number and Player A circles all the factors of the numbers that are not already circled.
- The players take turns choosing numbers and circling factors.
- If a player circles a number with no factors left then the player doesn’t get any points and they lose a turn.
- The game ends when there are no more numbers left with uncircled factors and the player with the most points wins.
At the end of each investigation we also did reflections. These helped me to remember the information I learned and it helped me on my tests and quizzes.I had an amazing math year this year, and I now know much more information than I did last year. I am walking out of this school as an even smarter girl, and this is all because of the help from my amazing teachers.
Picture found at:
http://www.amazon.com/Connected-Mathematics-Grade-Prime-Time/dp/0133661040
Here is one of the many reflections I got a great grade on this year.....
Mathematical Reflection 1-
How Likely Is It?
By: Melanie Ward 4-18-12
#1-3, page 20
Example: When you are experimenting to see if a coin will land on heads or tails you can flip the coin and record you number of trials, how many times it landed on heads, and your percent. You must do this a large amount of times so that you can have a better and more accurate prediction.
Example: If you have 500 trials you will have more data and a better prediction than when you only have 30 trials because you won’t have enough information.
Example: If you flip a coin it will have a 50% chance of landing on heads and a 50% chance of landing on tails also, which means the chances of are equally likely.
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